Meaning of fourth-power-free integer?
up vote
0
down vote
favorite
In a paper on Elliptic curves, there is the term, 'fourth-power-free integer', what does it mean? Is it something like square free integer?
number-theory
asked Dec 4 at 1:17
ersh
214
add a comment |
up vote
0
down vote
favorite
In a paper on Elliptic curves, there is the term, 'fourth-power-free integer', what does it mean? Is it something like square free integer?
number-theory
asked Dec 4 at 1:17
ersh
214
2
Not divisible by the fourth power of an integer (except $pm 1$).
– T. Bongers
Dec 4 at 1:19
add a comment |
up vote
0
down vote
favorite
up vote
0
down vote
favorite
In a paper on Elliptic curves, there is the term, 'fourth-power-free integer', what does it mean? Is it something like square free integer?
number-theory
asked Dec 4 at 1:17
ersh
214
In a paper on Elliptic curves, there is the term, 'fourth-power-free integer', what does it mean? Is it something like square free integer?
number-theory
number-theory
asked Dec 4 at 1:17
ersh
214
asked Dec 4 at 1:17
ersh
214
asked Dec 4 at 1:17
ersh
214
asked Dec 4 at 1:17
ersh
214
asked Dec 4 at 1:17
ersh
214
214
2
Not divisible by the fourth power of an integer (except $pm 1$).
– T. Bongers
Dec 4 at 1:19
add a comment |
2
Not divisible by the fourth power of an integer (except $pm 1$).
– T. Bongers
Dec 4 at 1:19
2
2
Not divisible by the fourth power of an integer (except $pm 1$).
– T. Bongers
Dec 4 at 1:19
Not divisible by the fourth power of an integer (except $pm 1$).
– T. Bongers
Dec 4 at 1:19
add a comment |
1 Answer
1
active
oldest
votes
up vote
3
down vote
Basically, yeah, just the equivalent of it for fourth powers - a "fourth power free" integer's prime factors repeat no more than three times.
answered Dec 4 at 1:19
Eevee Trainer
2,440220
add a comment |
Your Answer
StackExchange.ifUsing("editor", function () {
return StackExchange.using("mathjaxEditing", function () {
StackExchange.MarkdownEditor.creationCallbacks.add(function (editor, postfix) {
StackExchange.mathjaxEditing.prepareWmdForMathJax(editor, postfix, [["$", "$"], ["\\(","\\)"]]);
});
});
}, "mathjax-editing");
StackExchange.ready(function() {
var channelOptions = {
tags: "".split(" "),
id: "69"
};
initTagRenderer("".split(" "), "".split(" "), channelOptions);
StackExchange.using("externalEditor", function() {
// Have to fire editor after snippets, if snippets enabled
if (StackExchange.settings.snippets.snippetsEnabled) {
StackExchange.using("snippets", function() {
createEditor();
});
}
else {
createEditor();
}
});
function createEditor() {
StackExchange.prepareEditor({
heartbeatType: 'answer',
convertImagesToLinks: true,
noModals: true,
showLowRepImageUploadWarning: true,
reputationToPostImages: 10,
bindNavPrevention: true,
postfix: "",
imageUploader: {
brandingHtml: "Powered by u003ca class="icon-imgur-white" href="https://imgur.com/"u003eu003c/au003e",
contentPolicyHtml: "User contributions licensed under u003ca href="https://creativecommons.org/licenses/by-sa/3.0/"u003ecc by-sa 3.0 with attribution requiredu003c/au003e u003ca href="https://stackoverflow.com/legal/content-policy"u003e(content policy)u003c/au003e",
allowUrls: true
},
noCode: true, onDemand: true,
discardSelector: ".discard-answer"
,immediatelyShowMarkdownHelp:true
});
}
});
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3024984%2fmeaning-of-fourth-power-free-integer%23new-answer', 'question_page');
}
);
Post as a guest
Required, but never shown
1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
up vote
3
down vote
Basically, yeah, just the equivalent of it for fourth powers - a "fourth power free" integer's prime factors repeat no more than three times.
answered Dec 4 at 1:19
Eevee Trainer
2,440220
add a comment |
up vote
3
down vote
Basically, yeah, just the equivalent of it for fourth powers - a "fourth power free" integer's prime factors repeat no more than three times.
answered Dec 4 at 1:19
Eevee Trainer
2,440220
add a comment |
up vote
3
down vote
up vote
3
down vote
Basically, yeah, just the equivalent of it for fourth powers - a "fourth power free" integer's prime factors repeat no more than three times.
answered Dec 4 at 1:19
Eevee Trainer
2,440220
Basically, yeah, just the equivalent of it for fourth powers - a "fourth power free" integer's prime factors repeat no more than three times.
answered Dec 4 at 1:19
Eevee Trainer
2,440220
answered Dec 4 at 1:19
Eevee Trainer
2,440220
answered Dec 4 at 1:19
Eevee Trainer
2,440220
answered Dec 4 at 1:19
Eevee Trainer
2,440220
2,440220
add a comment |
add a comment |
Thanks for contributing an answer to Mathematics Stack Exchange!
- Please be sure to answer the question. Provide details and share your research!
But avoid …
- Asking for help, clarification, or responding to other answers.
- Making statements based on opinion; back them up with references or personal experience.
Use MathJax to format equations. MathJax reference.
To learn more, see our tips on writing great answers.
Some of your past answers have not been well-received, and you're in danger of being blocked from answering.
Please pay close attention to the following guidance:
- Please be sure to answer the question. Provide details and share your research!
But avoid …
- Asking for help, clarification, or responding to other answers.
- Making statements based on opinion; back them up with references or personal experience.
To learn more, see our tips on writing great answers.
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3024984%2fmeaning-of-fourth-power-free-integer%23new-answer', 'question_page');
}
);
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
2
Not divisible by the fourth power of an integer (except $pm 1$).
– T. Bongers
Dec 4 at 1:19